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Alex_Xolod [135]
3 years ago
7

Find m∠FGL.

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
3 0

Answer:

C) \displaystyle 30°

Step-by-step explanation:

Use the Angle Addition Postulate to figure this out:

\displaystyle m∠FGL + m∠LGH = m∠FGH

165° = (x + 15)° + (9x)°

165° = (15 + 10x)°

- 15° - 15°

_____________

\displaystyle \frac{150°}{10} = \frac{[10x]°}{10} \\ \\

\displaystyle 15° = x[Plug this back into the modeled expression for the m∠FGLto get the angle measure of 30°]; \displaystyle 30° = m∠FGL

I am joyous to assist you anytime.

Zepler [3.9K]3 years ago
3 0

Answer:

30 Degrees

C)

Step-by-step explanation:

m∠FGL + m∠LGH = m∠FGH → (x + 15) + (9x) = 165 → x = 15

Therefore, m∠FGL = x + 15 = 15 + 15 = 30°

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